{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Introduction to Data Analysis\n",
    "This notebook serves as a summary of the fundamentals covered in chapter 1. \n",
    "\n",
    "## Setup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import stats_viz"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Fundamentals of data analysis\n",
    "When conducting a data analysis, we will move back and forth between four main processes:\n",
    "\n",
    "- **Data Collection**: Every analysis starts with collecting data. We can collect data from a variety of sources, including databases, APIs, flat files, and the Internet.\n",
    "- **Data Wrangling**: After we have our data, we need to prepare it for our analysis. This may involve reshaping it, changing data types, handling missing values, and/or aggregating it. \n",
    "- **Exploratory Data Analysis (EDA)**: We can use visualizations to explore our data and summarize it. During this time, we will also begin exploring the data by looking at its structure, format, and summary statistics.\n",
    "- **Drawing Conclusions**: After we have thoroughly explored our data, we can try to draw conclusions or model it.\n",
    "\n",
    "## Statistical Foundations\n",
    "As this is not a statistics book, we will discuss the concepts we will need to work through the book, in addition to some avenues for further exploration. By no means is this exhaustive.\n",
    "\n",
    "### Sampling\n",
    "Some resampling (sampling from the sample) techniques we will see throughout the book, especially for the chapters on machine learning (9-11):\n",
    "- **simple random sampling**: pick with a random number generator\n",
    "- **stratified random sampling**: randomly pick preserving the proportion of groups in the data\n",
    "- **bootstrapping**: sampling with replacement (more info [here](https://www.youtube.com/watch?v=gcPIyeqymOU) and [here](https://en.wikipedia.org/wiki/Bootstrapping_(statistics)))\n",
    "\n",
    "### Descriptive Statistics\n",
    "We use descriptive statistics to describe the data. The data we work with is usually a **sample** taken from the **population**. The statistics we will discuss here are referred to as **sample statistics** because they are calculated on the sample and can be used as estimators for the population parameters.\n",
    "\n",
    "#### Measures of Center\n",
    "Three common ways to describe the central tendency of a distribution are mean, median, and mode.\n",
    "##### Mean\n",
    "The sample mean is an estimator for the population mean ($\\mu$) and is defined as: \n",
    "\n",
    "$$\\bar{x} = \\frac{\\sum_{1}^{n} x_i}{n}$$\n",
    "##### Median\n",
    "The median represents the 50th percentile of our data; this means that 50% of the values are greater than the median and 50% are less than the median. It is calculated by taking the middle value from an ordered list of values.\n",
    "\n",
    "##### Mode\n",
    "The mode is the most common value in the data. We can use it to describe the shape of the distribution:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1080x216 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = stats_viz.different_modal_plots()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Measures of Spread\n",
    "Measures of spread tell us how the data is dispersed; this will indicate how thin (low dispersion) or wide (very spread out) our distribution is.\n",
    "\n",
    "##### Range\n",
    "The range is the distance between the smallest value (minimum) and the largest value (maximum):\n",
    "\n",
    "$$range = max(X) - min(X)$$\n",
    "\n",
    "##### Variance\n",
    "The variance describes how far apart observations are spread out from their average value (the mean). When calculating the sample variance, we divide by `n - 1` instead of `n` to account for using the sample mean ($\\bar{x}$):\n",
    "\n",
    "$$s^2 = \\frac{\\sum_{1}^{n} (x_i - \\bar{x})^2}{n - 1}$$\n",
    "\n",
    "This is referred to as Bessel's correction and is applied to get an unbiased estimator of the population variance. \n",
    "\n",
    "*Note that this will be in units-squared of whatever was being measured.*\n",
    "\n",
    "##### Standard Deviation\n",
    "The standard deviation is the square root of the variance, giving us a measure in the same units as our data. The sample standard deviation is calculated as follows:\n",
    "\n",
    "$$s = \\sqrt{\\frac{\\sum_{1}^{n} (x_i - \\bar{x})^2}{n - 1}} = \\sqrt{s^2}$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x144 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = stats_viz.effect_of_std_dev()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*Note that $\\sigma^2$ is the population variance and $\\sigma$ is the population standard deviation.*\n",
    "\n",
    "##### Coefficient of Variation\n",
    "The coefficient of variation (CV) gives us a unitless ratio of the standard deviation to the mean. Since, it has no units we can compare dispersion across data sets:\n",
    "\n",
    "$$CV = \\frac{s}{\\bar{x}}$$\n",
    "\n",
    "##### Interquartile Range\n",
    "The interquartile range (IQR) gives us the spread of data around the median and quantifies how much dispersion we have in the middle 50% of our distribution:\n",
    "\n",
    "$$IQR = Q_3 - Q_1$$\n",
    "\n",
    "##### Quartile Coefficient of Dispersion\n",
    "The quartile coefficient of dispersion also is a unitless statistic for comparing data sets. However, it uses the median as the measure of center. It is calculated by dividing the semi-quartile range (half the IQR) by the midhinge (midpoint between the first and third quartiles):\n",
    "\n",
    "$$QCD = \\frac{\\frac{Q_3 - Q_1}{2}}{\\frac{Q_1 + Q_3}{2}} = \\frac{Q_3 - Q_1}{Q_3 + Q_1}$$\n",
    "\n",
    "#### Summarizing data\n",
    "The **5-number summary** provides 5 descriptive statistics that summarize our data:\n",
    "\n",
    "|# | Quartile | Statistic | Percentile |\n",
    "| --- | --- | --- | --- |\n",
    "|1.|$Q_0$|minimum|$0^{th}$|\n",
    "|2.|$Q_1$|N/A|$25^{th}$|\n",
    "|3.|$Q_2$|median|$50^{th}$|\n",
    "|4.|$Q_3$|N/A|$75^{th}$|\n",
    "|5.|$Q_4$|maximum|$100^{th}$|\n",
    "\n",
    "This summary can be visualized using a **box plot** (also called box-and-whisker plot). The box has an upper bound of $Q_3$ and a lower bound of $Q_1$. The median will be a line somewhere in this box. The whiskers extend from the box towards the minimum/maximum. For our purposes, they will extend to $Q_3 + 1.5 \\times IQR$ and $Q_1 - 1.5 \\times IQR$ and anything beyond will be represented as individual points for outliers:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = stats_viz.example_boxplot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The box plot doesn't show us how the data is distributed within the quartiles. To get a better sense of the distribution, we can use a **histogram**, which will show us the amount of observations that fall into equal-width bins. We can vary the number of bins to use, but be aware that this can change our impression of what the distribution appears to be:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = stats_viz.example_histogram()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also visualize the distribution using a **kernel density estimate (KDE)**. This will estimate the probability density function (PDF). This function shows how probability is distributed over the values. Higher values of the PDF mean higher likelihoods:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = stats_viz.example_kde()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that both the KDE and histogram estimate the distribution:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = stats_viz.hist_and_kde()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Skewed distributions** have more observations on one side. The mean will be less than the median with negative skew, while the opposite is true of positive skew:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = stats_viz.skew_examples()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can use the **cumulative distribution function (CDF)** to find probabilities of getting values within a certain range. The CDF is the integral of the PDF:\n",
    "\n",
    "$$CDF = F(x) = \\int_{-\\infty}^{x} f(t) dt$$\n",
    " \n",
    "*Note that $f(t)$ is the PDF and $\\int_{-\\infty}^{\\infty} f(t) dt = 1$.*\n",
    "\n",
    "The probability of the random variable $X$ being less than or equal to the specific value of $x$ is denoted as $P(X ≤ x)$. Note that the for a continuous random variable the probability of it being exactly $x$ is zero.\n",
    "\n",
    "Let's look at the estimate of the CDF from the sample data we used for the box plot, called the empirical cumulative distribution function (ECDF):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x216 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = stats_viz.cdf_example()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*We can find any range we want if we use some algebra as in the rightmost subplot above.*\n",
    "\n",
    "#### Common Distributions\n",
    "- **Gaussian (normal) distribution**: looks like a bell curve and is parameterized by its mean (μ) and standard deviation (σ). Many things in nature happen to follow the normal distribution, like heights. Note that testing if a distribution is normal is not trivial. Written as $N(\\mu, \\sigma)$.\n",
    "- **Poisson distribution**: discrete distribution that is often used to model arrivals. Parameterized by its mean, lambda (λ). Written as $Pois(\\lambda)$.\n",
    "- **Exponential distribution**: can be used to model the time between arrivals. Parameterized by its mean, lambda (λ). Written as $Exp(\\lambda)$.\n",
    "- **Uniform distribution**: places equal likelihood on each value within its bounds (a and b). We often use this for random number generation. Written as $U(a, b)$.\n",
    "- **Bernoulli distribution**: When we pick a random number to simulate a single success/failure outcome, it is called a Bernoulli trial. This is parameterized by the probability of success (p). Written as $Bernoulli(p)$.\n",
    "- **Binomial distribution**: When we run the same experiment multiple times (n), the total number of successes is then a binomial random variable. Written as $B(n, p)$.\n",
    "\n",
    "We can visualize both discrete and continuous distributions; however, discrete distributions give us a **probability mass function** (**PMF**) instead of a PDF:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = stats_viz.common_dists()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Scaling data\n",
    "In order to compare variables from different distributions, we would have to scale the data, which we could do with the range by using **min-max scaling**:\n",
    "\n",
    "$$x_{scaled}=\\frac{x - min(X)}{range(X)}$$\n",
    "\n",
    "Another way is to use a **Z-score** to standardize the data:\n",
    "\n",
    "$$z_i = \\frac{x_i - \\bar{x}}{s}$$\n",
    "\n",
    "#### Quantifying relationships between variables\n",
    "The covariance is a statistic for quantifying the relationship between variables by showing their joint variance:\n",
    "\n",
    "$$cov(X, Y) = E[(X-E[X])(Y-E[Y])]$$\n",
    "\n",
    "*E[X] is the expectation of the random variable X (its long-run average).*\n",
    "\n",
    "The sign of the covariance gives us the direction of the relationship, but we need the magnitude as well. For that we calculate the Pearson correlation coefficient ($\\rho$):\n",
    "\n",
    "$$\\rho_{X, Y} = \\frac{cov(X, Y)}{s_X s_Y}$$\n",
    "\n",
    "Examples:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x216 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = stats_viz.correlation_coefficient_examples()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*From left to right: no correlation, weak negative correlation, strong positive correlation, and nearly perfect negative correlation.*\n",
    "\n",
    "Often, it is more informative to use scatter plots to check for relationships between variables. This is because the correlation may be strong, but the relationship may not be linear:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = stats_viz.non_linear_relationships()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Pitfalls of summary statistics\n",
    "Not only can our correlation coefficients be misleading, but so can summary statistics. Anscombe's quartet is a collection of four different data sets that have identical summary statistics and correlation coefficients, however, when plotted, it is obvious they are not similar:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = stats_viz.anscombes_quartet()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Prediction and forecasting\n",
    "Say our favorite ice cream shop has asked us to help predict how many ice creams they can expect to sell on a given day. They are convinced that the temperature outside has strong influence on their sales, so they collected data on the number of ice creams sold at a given temperature. We agree to help them, and the first thing we do is make a scatter plot of the data they gave us:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = stats_viz.example_scatter_plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can observe an upward trend in the scatter plot: more ice creams are sold at higher temperatures. In order to help out the ice cream shop, though, we need to find a way to make predictions from this data. We can use a technique called **regression** to model the relationship between temperature and ice cream sales with an equation:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = stats_viz.example_regression()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can use the resulting equation to make predictions for the number of ice creams sold at various temperatures. However, we must keep in mind if we are interpolating or extrapolating. If the temperature value we are using for prediction is within the range of the original data we used to build our regression model, then we are **interpolating** (solid portion of the red line). On the other hand, if the temperature is beyond the values in the original data, we are **extrapolating**, which is very dangerous, since we can't assume the pattern continues indefinitely in each direction (dotted portion of the line). Extremely hot temperatures may cause people to stay inside, meaning no ice creams will be sold, while the equation indicates record-high sales. \n",
    "\n",
    "Forecasting is a type of prediction for time series. In a process called **time series decomposition**, time series are decomposed into a trend component, a seasonality component, and a cyclical component. These components can be combined in an additive or multiplicative fashion:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 4 Axes>"
      ]
     },
     "metadata": {
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    }
   ],
   "source": [
    "stats_viz.time_series_decomposition_example()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The **trend** component describes the behavior of the time series in the long-term without accounting for the seasonal or cyclical effects. Using the trend, we can make broad statements about the time series in the long-run, such as: the population of Earth is increasing or the value of Facebook stock is stagnating. **Seasonality** of a time series explains the systematic and calendar-related movements of a time series. For example, the number of ice cream trucks on the streets of New York City is high in the summer and drops to nothing in the winter; this pattern repeats every year regardless of whether the actual amount each summer is the same. Lastly, the **cyclical** component accounts for anything else unexplained or irregular with the time series; this could be something like a hurricane driving the number of ice cream trucks down in the short-term because it isn't safe to be outside. This component is difficult to anticipate with a forecast due to its unexpected nature.\n",
    "\n",
    "When making models to forecast time series, some common methods include ARIMA-family methods and exponential smoothing. **ARIMA** stands for autoregressive (AR), integrated (I), moving average (MA). Autoregressive models take advantage of the fact that an observation at time $t$ is correlated to a previous observation, for example at time $t - 1$. Note that not all time series are autoregressive. The integrated component concerns the differenced data, or the change in the data from one time to another. Lastly, the moving average component uses a sliding window to average the last $x$ observations where $x$ is the length of the sliding window. We will build an ARIMA model in [chapter 7](https://github.com/stefmolin/Hands-On-Data-Analysis-with-Pandas/blob/master/ch_07/financial_analysis.ipynb).\n",
    "\n",
    "The moving average puts equal weight on each time period in the past involved in the calculation. In practice, this isn't always a realistic expectation of our data. Sometimes all past values are important, but they vary in their influence on future data points. For these cases, we can use exponential smoothing, which allows us to put more weight on more recent values and less weight on values further away from what we are predicting.\n",
    "\n",
    "### Inferential Statistics\n",
    "Inferential statistics deals with inferring or deducing things from the sample data we have in order to make statements about the population as a whole. Before doing so, we need to know whether we conducted an observational study or an experiment. An observational study can't be used to determine causation because we can't control for everything. An experiment on the other hand is controlled.\n",
    "\n",
    "Remember that the sample statistics we discussed earlier are estimators for the population parameters. Our estimators need **confidence intervals**, which provide a point estimate and a margin of error around it. This is the range that the true population parameter will be in at a certain **confidence level**. At the 95% confidence level, 95% of the confidence intervals calculated from random samples of the population contain the true population parameter.\n",
    "\n",
    "We also have the option of using **hypothesis testing**. First, we define a null hypothesis (say the true population mean is 0), then we determine a **significance level** (1 - confidence level), which is the probability of rejecting the null hypothesis when it is true. Our result is statistically significant if the value for the null hypothesis is outside the confidence interval. [More info](https://statisticsbyjim.com/hypothesis-testing/hypothesis-tests-confidence-intervals-levels/)"
   ]
  }
 ],
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